0.90x+0.05(20-x)=0.10(27)

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Solution for 0.90x+0.05(20-x)=0.10(27) equation: 


Simplifying
0.90x + 0.05(20 + -1x) = 0.10(27)
0.90x + (20 * 0.05 + -1x * 0.05) = 0.10(27)
0.90x + (1 + -0.05x) = 0.10(27)

Reorder the terms:
1 + 0.90x + -0.05x = 0.10(27)

Combine like terms: 0.90x + -0.05x = 0.85x
1 + 0.85x = 0.10(27)

Multiply 0.10 * 27
1 + 0.85x = 2.7

Solving
1 + 0.85x = 2.7

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 0.85x = 2.7 + -1

Combine like terms: 1 + -1 = 0
0 + 0.85x = 2.7 + -1
0.85x = 2.7 + -1

Combine like terms: 2.7 + -1 = 1.7
0.85x = 1.7

Divide each side by '0.85'.
x = 2

Simplifying
x = 2

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